On a certain hot summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that day?
Answer: 219 children and 72 adults swam at the public pool that day.
Step-by-step explanation:
Let x = Number of children , y= Number of adults.
As per given, x+y = 291 (i)
1.5x+2y = 472.50 (ii)
Multiply 2 on both sides of (i) , we get
2x+2y = 582 (iii)
Eliminate (ii) from (iii), we get
0.5x = 109.5
[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]
Put value of x= 219 in (i)
219+y= 291
⇒ y = 291-219 = 72
Hence, 219 children and 72 adults swam at the public pool that day.
tell whether each figure is a polygon. if it is a polygon, name it by the number of each sides.
Answer:
We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Step-by-step explanation:
It is clear that the given figure contains:
5 sides5 anglesA closed 2D shapeWe know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Please also note that the sum of interior angles in a Pentagon is 540°
I
Write an equation of the line passing through the point (2, 3) and
PERPENDICULAR to the line y = -2x + 2.
Answer:
y= 1/2 x +7
the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes
Step-by-step explanation:
3= -4 +b
b= 7
help me, please
. Which rate is about the same as 45 miles per hour?
A. 95 kilometers per hour
B. 72 kilometers per hour
C. 56 kilometers per hour
D. 32 kilometers per hour
Answer:
Option B.
Hey there!
According to the question,
45 miles per hour is given.
Then;
1 mile = 1.60 km
45 miles = 1.60*45
= 72 km.
Therefore, 45miles is equal to 72 km.
Hope it helps....
3 pts
Solve the exponential equation. Round your answer
to the hundredths.
3 (2") = 48
Help plz
Answer:
22.5
Step-by-step explanation:
You subtract 3 from both sides and then divide 2 from both sides which should look like this
3(2x)=48
-3 -3
2x=45
-:- 2
x=22.5
Help me please. I'll give Brainliest.
Evaluate the expression below at x = 6.
Answer:
64
Step-by-step explanation:
[tex](6+1/3x)^2[/tex]
Lets first substitute x into the equation:
[tex](6+1/3[6])^2[/tex]
1/3 times 6 = 2
[tex](6+2)^{2}[/tex]
[tex]8^{2}[/tex]
Which equals 64
Graph 3x + 4y < 24
Please I need it now
type your equation into the desmos app and you can see the answer
Hope it helps :)
↓Graph Provided Below↓
PLEASE DUE IN 5 MIN
Charlie is trying to choose between two bike rental companies, Jokes and Spokes and Wheeling. Jokes and Spokes charges $25 initial fee and an additional $5 for each hour rented. Wheeling charges an initial fee of $18 and an additional $6 for each hour rented.
The total cost to rent a bike from Jokes and Spokes can be represented by the equation c = 5h + 25, where h represents the number of hours rented and y represented the cost in dollars.
The total cost to rent a bike from Wheeling can be represented by the equation c = 6h +18, where h represents the number of hours rented and y represented the cost in dollars.
For how many hours of rental is the amount charged by the two companies the same? What is the cost, in dollars, of renting the bike for this many hours?
7 hours and $60
Step-by-step explanation:
25+5x7=60 and 18+6x7=60
The point A(−3,−8) is reflected over the point (2,0) and its image is point BB. What are the coordinates of point B?
Answer:
(7,8), i'm quite certain
Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.
Answer:
n=4
Step-by-step explanation:
7n - 4 = 24
24 + 4 = 28
7n = 28
n = 4
OR plug in the sets you gave and see if they equal 24
Change 61.5 km into metres.
Answer:
61500m
Step-by-step explanation:
To convert km into m, multiply by 1000
Answer:
61500metres.
hope it helps.
Evaluate the expressions.
3 + x, when the value of x is 15.
Answer:
18
3+x (x=15)
so
3+15 =
18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many chickens does the farmer have?
Answer:
32 chickens
Step-by-step explanation:
Let
The number of cows = x
The number of chickens = y
A farm raises cows and chickens. The farmer has a total of 46 animals.
x + y= 46..... Equation 1
x = 46 - y
Number of legs of chickens = 2
Number of legs of cows = 4
One day he counts the legs of all his animals and realizes he has a total of 156 legs.
Hence:
2x + 4y = 156.... Equation 2
We substitute 46 - y for x in Equation 2
2(46 - y) + 4y = 156
92 - 2y + 4y = 156
- 2y + 4y = 156 - 92
2y = 64
y = 64/2
y = 32
Solving for x
x = 46 - y
x = 46 - 32
x = 14
The number of cows = x = 14 cows
The number of chickens = y = 32 chickens
Therefore, the number of chickens that the farmer has is 32 chickens
Please help me out if you answer you get brainliest and 50 points
Step-by-step explanation:
I believe month 10!! Hope this helps (and may not be correct)
Answer:
I KNOW THAT IN MONTH 4 THE VALUE PASSES THE GRADES FOUNDATION
jun swims 18 laps and Mara swims 25 laps. How many fewer laps did Jun swim than Mara ?
Answer:
7
Step-by-step explanation:
All you have to do to solve this is subtract 18 from 25
Answer:
7
Step-by-step explanation:
25-18=7
What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
Answer:
slope or m= -5/2
Step-by-step explanation:
8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
Derek is selecting a sock from his drawer .He chooses a sock at random and then selects a second sock at random .what is the probability that Derek selected a striped sock both times
Answer: 1/15
Step-by-step explanation:
The number of striped socks is 2 while the number of total socks are 6. If he chooses a striped socks at first, that will be 2/6.
If he chooses it the second time, the probability will be 1/5 since there'll be 5 socks left and 1 striped.
The probability that Derek selected a striped sock both times will be:
= 2/6 × 1/5.
= 2/30
= 1/15
please help and show work if you can I only need 10, 11 and 12
Answer:
Step-by-step explanation:
10). AD = BC [If ABCD is a parallelogram]
3x + 1 = 6x - 4
6x - 3x = 1 + 4
3x = 5
x = [tex]\frac{5}{3}[/tex]
11). If ABCD is a parallelogram,
AB = CD
5x - 8 = 2x + 7
5x - 2x = 7 + 8
3x = 15
x = 5
12). If ABCD is a parallelogram,
AB = CD
AB║CD and BD is a transversal intersecting these parallel lines.
∠ABD ≅ ∠BDC [Alternate interior angles]
4x - 1 = x + 38
4x - x = 38 + 1
3x = 39
x = 13
nobody answered this so i give up
Answer: um i answered so yah im bored can u talk???
Step-by-step explanation: ;)
PLEASE PLEASE HELP I AM TIMED! What is the domain and range of the function?
Answer:
Domain is; d is a set of non - zero integers.
Range will be p(d) for values of; d > 0 or d < 0
Step-by-step explanation:
In Mathematics, the domain is the set of all input values in a given function while range is the set of output values for each given input function.
Thus, looking at the function given;
p(d) = -(28.2/d) + 0.859
It is clear that if d = 0, we will have an undefined solution as any number divided by zero is undefined.
Thus, the domain is; d is a set of non - zero integers.
Range will be p(d) for values of; 0 < d < 0
A t-shirt costs $12. You have a 25% off coupon. How much will the t-shirt cost?
Answer:
The shirt would be $9 dollars because $3 dollars is 25% of 12.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
25%=/4
12/4=3
3*3to get 75%=9
What is X?*
7x - 4
5х + 12
8
10
52
64
Answer:
x = 8
Step-by-step explanation:
You know that 7x - 4 and 5x + 12 are equal, so you can set up an equation and solve it:
[tex]7x - 5 = 5x + 12[/tex]
subtract 5x from both sides
[tex]2x-4=12[/tex]
Add 4 to both sides
[tex]2x = 16[/tex]
divide both sides by 2
[tex]x = 8[/tex]
Answer:
7x - 4......1
5х + 12......2
on multiplying by 3 in eq 1
= 21x-12...3
on substracting eq 2 from 3
21x-12=0
-5x+12=0
=16x=0
x=1/16
sorry but I can't find your answer
but I tried...
A, B & C form a triangle where ∠ BAC = 90°. AB = 4.3 mm and CA = 3.1 mm. Find the length of BC give your ANSWR rounded to 1 DP
Answer:
4.3^2+3.1^2= square root of 28.1= 5.3
Step-by-step explanation:
A train at a constant speed and goes 7.5 kilometers in 6 minutes. At the rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?
Answer:
The distance covered by a train in 1 minute = 1.25 kilometers
The distance covered by a train in 100 minutes = 125 kilometers
Step-by-step explanation:
The distance covered = 7.5 kilometers
Time taken = 6 minutes
Calculating unit rate
unit rate = 7.5 kilometers / 6 minutes
= 1.25 kilometers per minute
Thus,
The distance covered by a train in 1 minute = 1.25 kilometers
and
The distance covered by a train in 100 minutes = 1.25 × 100
= 125 kilometers
ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC
Answer:
BEC°
Step-by-step explanation:
complementary means "to add up to 90°"
90° - 34° = 56°
the Z confused me for a bit, then figured out you tried to type in the angle sign.
Please answer this question
Find the slope of the line
Answer:
10??? sorrybi have no idea
Matt decided to go out to eat. He ordered a soda for $2.15, some chicken for $8.77 and a slice of cake for $4.10. What would his entire bill be if he tipped his waiter 18%?
Answer: $ 17.72
Step-by-step explanation:
Cost of soda = $2.15 , Cost of chicken = $8.77 , Cost of slice of cake = $4.10.
Total bill amount = (Cost of soda ) + (Cost of chicken) +(Cost of slice of cake)
= $ (2.15 + 8.77 +4.10)
= $ 15.02
Tip amount = 18% of Total bill amount
= 0.18 (15.02)
= $ 2.7036 ≈ $2.70
Entire bill = Total bill amount + Tip amount
= $ ( 15.02+2.70)
= $ 17.72
Hence, entire bill = $ 17.72